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Finding the Fourth Proportional to 9,368.51, 12,930.71 and 6,182.38

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Solution

The fourth proportional to 9,368.51, 12,930.71 and 6,182.38 is: 8,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.51 : 12,930.71 = 6,182.38 : x
  2. Step 2: Convert to fraction form
    9,368.51/12,930.71 = 6,182.38/x
  3. Step 3: Cross multiply
    9,368.51x = 12,930.71 × 6,182.38
  4. Step 4: Simplify right side
    9,368.51x = 79,942,467.32
  5. Step 5: Solve for x
    x = 79,942,467.32/9,368.51
  6. Step 6: Final answer
    x = 8,533.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.